Author: C.G. Gibson
Publisher: Springer
ISBN: 3540379576
Category : Mathematics
Languages : en
Pages : 160
Book Description
During the academic year 1974-75, the Department of Pure Mathematics in the University of Liverpool held a seminar on the topological stability of smooth mappings. The main objective was to piece together a complete proof of the topological stability theorem (conjectured by René Thom in 1960, and proved by John Mather in 1970) for which no published accounts existed. This volume comprises a write-up of the seminar by four of the participants. Any mathematician working in this area is conscious of a debt to the inventiveness of Thom, and to Mather for the technical work which placed much that was conjecture on firm mathematical foundations. The proof presented in these notes follows Thom's indications closely, and requires no more than some familiarity with differential topology and commutative algebra of the reader.
Topological Stability of Smooth Mappings
Author: C.G. Gibson
Publisher: Springer
ISBN: 3540379576
Category : Mathematics
Languages : en
Pages : 160
Book Description
During the academic year 1974-75, the Department of Pure Mathematics in the University of Liverpool held a seminar on the topological stability of smooth mappings. The main objective was to piece together a complete proof of the topological stability theorem (conjectured by René Thom in 1960, and proved by John Mather in 1970) for which no published accounts existed. This volume comprises a write-up of the seminar by four of the participants. Any mathematician working in this area is conscious of a debt to the inventiveness of Thom, and to Mather for the technical work which placed much that was conjecture on firm mathematical foundations. The proof presented in these notes follows Thom's indications closely, and requires no more than some familiarity with differential topology and commutative algebra of the reader.
Publisher: Springer
ISBN: 3540379576
Category : Mathematics
Languages : en
Pages : 160
Book Description
During the academic year 1974-75, the Department of Pure Mathematics in the University of Liverpool held a seminar on the topological stability of smooth mappings. The main objective was to piece together a complete proof of the topological stability theorem (conjectured by René Thom in 1960, and proved by John Mather in 1970) for which no published accounts existed. This volume comprises a write-up of the seminar by four of the participants. Any mathematician working in this area is conscious of a debt to the inventiveness of Thom, and to Mather for the technical work which placed much that was conjecture on firm mathematical foundations. The proof presented in these notes follows Thom's indications closely, and requires no more than some familiarity with differential topology and commutative algebra of the reader.
Topological Stability of Smooth Mappings
Author: C. G. Gibson
Publisher:
ISBN: 9783662194935
Category :
Languages : en
Pages : 168
Book Description
Publisher:
ISBN: 9783662194935
Category :
Languages : en
Pages : 168
Book Description
Lecture Notes in Mathematics
Author:
Publisher:
ISBN: 9780387079974
Category : Differentiable mappings
Languages : en
Pages : 154
Book Description
Publisher:
ISBN: 9780387079974
Category : Differentiable mappings
Languages : en
Pages : 154
Book Description
Topological stability of smooth mappings
Author: C. G. Gibson
Publisher:
ISBN:
Category : Differentiable mappings
Languages : de
Pages :
Book Description
Publisher:
ISBN:
Category : Differentiable mappings
Languages : de
Pages :
Book Description
C(ristopher) G. Gibson [u.a.] Topological stability of smooth mappings
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
SELECTED PAPERS PRESENTED AT A SEMINAR ON THE TOPOLOGICAL STABILITY OF SMOOTH MAPPINGS- UNIVERSITY OF LIVERPOOL, DEPARTMENT OF PURE MATHEMATICS.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Complements of Discriminants of Smooth Maps
Author: V. A. Vasilʹev
Publisher: American Mathematical Soc.
ISBN: 9780821898376
Category : Mathematics
Languages : en
Pages : 282
Book Description
* Up-to-date reference on this exciting area of mathematics * Discusses the wide range of applications in topology, algebraic geometry, and catastrophe theory.
Publisher: American Mathematical Soc.
ISBN: 9780821898376
Category : Mathematics
Languages : en
Pages : 282
Book Description
* Up-to-date reference on this exciting area of mathematics * Discusses the wide range of applications in topology, algebraic geometry, and catastrophe theory.
Singularities of Mappings
Author: David Mond
Publisher: Springer Nature
ISBN: 3030344401
Category : Mathematics
Languages : en
Pages : 567
Book Description
The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Publisher: Springer Nature
ISBN: 3030344401
Category : Mathematics
Languages : en
Pages : 567
Book Description
The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Topology of Singular Fibers of Differentiable Maps
Author: Osamu Saeki
Publisher: Springer Science & Business Media
ISBN: 9783540230212
Category : Differentiable mappings
Languages : en
Pages : 164
Book Description
Publisher: Springer Science & Business Media
ISBN: 9783540230212
Category : Differentiable mappings
Languages : en
Pages : 164
Book Description
Singular Points of Smooth Mappings
Author: Christopher G. Gibson
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Book Description
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Book Description